Usha and Yoko went shopping together. Usha brought thrice as much money as Yoko. After Usha had spent $810 and Yoko had spent $130, they had an equal amount of money left. How much money did each of them have at first?
- Yoko
- Usha
|
Usha |
Yoko |
Before |
3 u |
1 u |
Change |
- $810 |
- $130 |
After |
3 u - $810 |
1 u - $130 |
(a)
The amounts that Usha and Yoko had in the end are the same.
3 u - 810 = 1 u - 130
3 u - 1 u = 810 - 130
2 u = 680
1 u = 680 ÷ 2 = 340
Amount that Yoko had at first
= 1 u
= $340
(b)
Amount that Usha had at first
= 3 u
= 3 x 340
= $1020
Answer(s): (a) $340, (b) $1020